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Kenneth Rosen Edition 7 Exercise 8.2 Question 28 (Page No. 525)
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Find all solutions of the recurrence relation $a_{n} = 2a_{n-1} + 2n^{2}.$
Find the solution of the recurrence relation in part $(A)$ with initial condition $a_{1} = 4.$
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Kenneth Rosen Edition 7 Exercise 8.2 Question 33 (Page No. 525)
Find all solutions of the recurrence relation $a_{n} = 4a_{n-1} - 4a_{n-2} + (n + 1)2^{n}.$
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Kenneth Rosen Edition 7 Exercise 8.2 Question 32 (Page No. 525)
Find the solution of the recurrence relation $a_{n} = 2a_{n-1} + 3 \cdot 2^{n}.$
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Kenneth Rosen Edition 7 Exercise 8.2 Question 31 (Page No. 525)
Find all solutions of the recurrence relation $a_{n} = 5a_{n-1} - 6a_{n-2} + 2^{n}+ 3n.$ [Hint: Look for a particular solution of the form $qn2^{n} + p_{1}n + p_{2},$ where $q, p_{1}, \text{and}\: p_{2}$ are constants.]
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Kenneth Rosen Edition 7 Exercise 8.2 Question 30 (Page No. 525)
Find all solutions of the recurrence relation $a_{n} = -5a_{n-1} - 6a_{n-2} + 42 \cdot 4^{n}.$ Find the solution of this recurrence relation with $a_{1} = 56\:\text{and}\: a_{2} = 278.$
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